A173533 Numbers with 53 divisors.

4503599627370496, 6461081889226673298932241, 2220446049250313080847263336181640625, 88124787089723195184393736687912818113311201, 1420429319844313329730664601483335671261683881745483121, 8415003868347247618489696679505181495471801448798649088081

Offset: 1

Author

Omar E. Pol, Oct 16 2010

Keywords

• nonn
• easy

Comments

52nd powers of primes.

The n-th number with p divisors is equal to the n-th prime raised to power p-1, where p is prime.

Links

• Omar E. Pol, Determinacion geometrica de los numeros primos y perfectos

Crossrefs

Cf. A000005, A000040, A001248, A030514, A030516, A030629, A030631, A030635, A030637, A137486, A137492, A139571, A139572, A139573, A139574, A139575.

Programs

Mathematica

Prime[Range[9]]^52 (* Vladimir Joseph Stephan Orlovsky, May 06 2011 *)

PARI

a(n)=prime(n)^52 \\ Charles R Greathouse IV, Jun 19 2016

Formula

a(n) = A000040(n)^(53-1) = A000040(n)^52.